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vagabundo [1.1K]
2 years ago
14

The variables x and y have a proportional relationship, and y= 5/6 which equation represents this relationship? x= 3/4. Which eq

uation represents this relationship?
Mathematics
1 answer:
Novosadov [1.4K]2 years ago
3 0

Answer:

(d)  y= (1 1/9)x

Step-by-step explanation:

A proportional relation is described by the equation ...

 y = kx

Dividing by x shows how to find the value of k:

 k = y/x

For the given values of y and x, the value of k is found to be ...

 k = (5/6)/(3/4) = (5/6)(4/3) = 20/18 = 10/9 = 1 1/9

The relationship is represented by the equation ...

 y = (1 1/9)

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A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma
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Answer:

The  value  is  C \approx \$76

Step-by-step explanation:

From the question we are told that

   The  area of the rectangular pen is  A =  24 \ yard^2

     The  cost of material used to make one side is  z = \$ 6

    The  cost of material used to make the other sides is  r  =  \$ 3

Now  , the fence to be build around the rectangular pen  has four sides, the first opposite sides are equal, let assume each of the to be x yard   and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

       C =  zx  +  r (x + 2y )

=>   C =  6x  +  3(x + 2y)

=>   C =   9x  +  6y

Now the area of the fence is mathematically represented as

      A =  x* y =  24

=>    y  =  \frac{24}{x}

=>  C =   9x  +  6[\frac{24}{x} ]

=>   C =   9x  +  [\frac{144}{x} ]

Now differentiating

     C'  =  9 + 144*  (-2) x^{-2}

     C'  =  9 - 288x^{-2}

At minimum C' =  0

So  

     9 - 288x^{-2} =  0

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    x =  \sqrt{\frac{1}{0.03125} }

    x =  5.66

Now substituting for x in the equation above to obtain minimum cost

       C =   9(5.66)  +  [\frac{144}{5.66} ]

       C \approx \$76

   

 

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3 years ago
Monte carlo simulation generates many outcomes that are organized into a frequency distribution.
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The statement is True, Monte Carlo simulation generate many outcomes that are organized into a frequency distribution.

Monte Carlo simulation

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  • The potential accuracy of a Monte Carlo simulation is roughly 4%, which is still higher than the 1% accuracy stated by SAMPLE, even for a random function with a 3 error factor.

Learn more about Monte Carlo simulation here: brainly.com/question/14332670

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What is the absolute value for 3.45?​
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Answer:

∣∣3.45∣∣=3.45

Step-by-step explanation:

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Step-by-step explanation:

Let x = number of games that Alex played

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